## Electromagnetic fieldsThis revised edition provides patient guidance in its clear and organized presentation of problems. It is rich in variety, large in number and provides very careful treatment of relativity. One outstanding feature is the inclusion of simple, standard examples demonstrated in different methods that will allow students to enhance and understand their calculating abilities. There are over 145 worked examples; virtually all of the standard problems are included. |

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Page 70

A surface on which <f> is constant is called an

Section 1-9 that the gradient of a scalar is normal to a surface of constant value of

the scalar and in the direction of the maximum rate of change of the scalar.

A surface on which <f> is constant is called an

**equipotential**surface. We saw inSection 1-9 that the gradient of a scalar is normal to a surface of constant value of

the scalar and in the direction of the maximum rate of change of the scalar.

Page 87

Suppose that S' is an

the potential of S„ which is also an

according to (5-11) and Figure 5-1, there will be lines of E generally directed from

S' to St.

Suppose that S' is an

**equipotential**surface whose potential $' is greater than <^,the potential of S„ which is also an

**equipotential**surface by (6-2). Then,according to (5-11) and Figure 5-1, there will be lines of E generally directed from

S' to St.

Page 184

recall that the

parallel to the z axis and, in fact, these axes lie in the xz plane.) As we noted in

the discussion following (5-38), the yz plane (x = 0) is the

for <f> ...

recall that the

**equipotential**surfaces are actually cylinders whose axes areparallel to the z axis and, in fact, these axes lie in the xz plane.) As we noted in

the discussion following (5-38), the yz plane (x = 0) is the

**equipotential**surfacefor <f> ...

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angle assume axes axis becomes bound charge boundary conditions bounding surface calculate capacitance cavity charge density charge distribution charge q circuit conducting conductor const constant corresponding Coulomb's law current density curve cylinder dielectric dipole direction displacement distance divergence theorem electric field electromagnetic electrostatic energy equal equipotential evaluate example Exercise expression field point flux free charge function given illustrated in Figure induction infinitely long integral integrand Laplace's equation line charge located Lorentz transformation magnetic magnitude Maxwell's equations normal component obtained origin parallel plate capacitor particle perpendicular point charge polarized position vector potential difference quadrupole quantities rectangular coordinates region result satisfy scalar potential shown in Figure situation solenoid solution sphere of radius spherical surface charge surface charge density surface integral tangential components theorem total charge vacuum vector potential velocity volume write written xy plane zero